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Finding the Third Proportional to 102,563.44 and 221,529.38

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Solution

The third proportional to 102,563.44 and 221,529.38 is: 478,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,563.44 : 221,529.38 = 221,529.38 : x
  2. Step 2: Convert to fraction form
    102,563.44/221,529.38 = 221,529.38/x
  3. Step 3: Cross multiply
    102,563.44x = 221,529.38 × 221,529.38
  4. Step 4: Simplify right side
    102,563.44x = 49,075,263,987.89
  5. Step 5: Solve for x
    x = 49,075,263,987.89/102,563.44
  6. Step 6: Final answer
    x = 478,486.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.